Contact values for disparate-size hard-sphere mixtures

Abstract

A universality ansatz for the contact values of a multicomponent mixture of additive hard spheres is used to propose new formulae for the case of disparate-size binary mixtures. A comparison with simulation data and with a recent proposal by Alawneh and Henderson for binary mixtures shows reasonably good agreement with the predictions for the contact values of the large–large radial distribution functions. A discussion on the usefulness and limitations of the new proposals is also presented.

Keywords:

• hard-sphere mixtures
• radial distribution function
• contact values

Acknowledgements

The work of A.S., S.B.Y. and M.L.H. has been supported by the Ministerio de Educación y Ciencia (Spain) through Grant No. FIS2007-60977 (partially financed by FEDER funds) and by the Junta de Extremadura through Grant No. GRU09038.

Notes

^†On sabbatical leave from Centro de Investigación en Energía, Universidad Nacional Autónoma de México (U.N.A.M.), Temixco, Morelos 62580, Mexico.

Note

1. Note the typographical error in Equation (7) of 22 where a factor of R is missing in the prefactor of the exponential correction to the VS formula.

Additional information

Notes on contributors

Mariano López de Haro†

†On sabbatical leave from Centro de Investigación en Energía, Universidad Nacional Autónoma de México (U.N.A.M.), Temixco, Morelos 62580, Mexico.